Solve (sqrt(5) * sqrt(3)) / (sqrt(5) - sqrt(3))

Evaluate

(s q r t \times 5 s q r t \times 3) \div (s q r t \times 5 - s q r t \times 3)

Multiply

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15 s^{2} q^{2} r^{2} t^{2} \div (s q r t \times 5 - s q r t \times 3)

Use the commutative property to reorder the terms

15 s^{2} q^{2} r^{2} t^{2} \div (5 s q r t - s q r t \times 3)

Use the commutative property to reorder the terms

15 s^{2} q^{2} r^{2} t^{2} \div (5 s q r t - 3 s q r t)

Subtract the terms

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15 s^{2} q^{2} r^{2} t^{2} \div 2 s q r t

Rewrite the expression

\frac{15 s ^{2} q ^{2} r ^{2} t ^{2}}{2 s q r t}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{15 s ^{2 - 1} q ^{2} r ^{2} t ^{2}}{2 q r t}

Reduce the fraction

\frac{15 s q ^{2} r ^{2} t ^{2}}{2 q r t}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{15 s q ^{2 - 1} r ^{2} t ^{2}}{2 r t}

Reduce the fraction

\frac{15 s q r ^{2} t ^{2}}{2 r t}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{15 s q r ^{2 - 1} t ^{2}}{2 t}

Reduce the fraction

\frac{15 s q r t ^{2}}{2 t}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{15 s q r t ^{2 - 1}}{2}

Solution

\frac{15 s q r t}{2}

Simplify the expression